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Finding the Fourth Proportional to 106.80, 160.38 and 93.48

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Solution

The fourth proportional to 106.80, 160.38 and 93.48 is: 140.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.80 : 160.38 = 93.48 : x
  2. Step 2: Convert to fraction form
    106.80/160.38 = 93.48/x
  3. Step 3: Cross multiply
    106.80x = 160.38 × 93.48
  4. Step 4: Simplify right side
    106.80x = 14,992.32
  5. Step 5: Solve for x
    x = 14,992.32/106.80
  6. Step 6: Final answer
    x = 140.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.